Browsing by Author "Musundi, Sammy"

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    Metric equivalence as an almost similarity property
    (Strathmore University, 2019-08) Musundi, Sammy; Gitonga, Eric; Nzimbi, Benard
    Various results that relate to almost similarity and other classes of operators such as isometry, normal, unitary and compact operators have been extensively discussed. In this paper, we describe the spectral picture of almost similar operators. To be more specific we will describe the spectrum, the spectral radius, the numerical radius as well as the norm of almost similar operators.
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    On unconditional banach space ideal property
    Aywa, Shem; Muthengi, Fredrick; Musundi, Sammy
    Let denote the assignment which associates with each pair of Banach spaces the vector space and be the space of all compact linear operators from . Let and suppose converges in the dual weak operator topology Denote by the finite number given by. The u-norm on is then given by. It has been shown that is a banach operator ideal. We find conditions for to be an unconditional ideal in